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3 years ago

Find the measure of a 3. ts 43 90° << 43 = [?]

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

THEOREM:

Same Side Interior Angles Theorem:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

ANSWER:

By same side interior angles theorem,

∠3 + 90° = 180°

∠3 = 180° - 90°

∠3 = 90°.

Karolina [17]3 years ago

3 0

The correct answer is 90

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3 years ago

What is the correct factorization of

Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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3 years ago

If f(x) 2x – 1 and g(x) = x2 - 2, find [g - fl(x)

xxMikexx [17]

Answer:

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3 years ago

A new law requires that 12% of an individual's income be invested in the stock market. Your accounts show that you need to put $

kozerog [31]

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3 years ago

Use the limit definition of the derivative to find the slope of the tangent line to the curve

ale4655 [162]

Answer:

$\displaystyle f'(4) = 63$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)
Factoring
Function Notation
Terms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: $\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
[Limit - Fraction] Expand [FOIL]: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}$
[Limit - Fraction] Distribute: $\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}$
[Limit - Fraction] Combine like terms (x²): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}$
[Limit - Fraction] Combine like terms (x): $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}$
[Limit - Fraction] Combine like terms: $\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}$
[Limit - Fraction] Factor: $\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}$
[Limit - Fraction] Simplify: $\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7$
[Limit] Evaluate: $\displaystyle f'(x) = 14x + 7$